Two fast algorithms for solving diagonal-plus-semiseparable linear systems (Articolo in rivista)

Type
Label
  • Two fast algorithms for solving diagonal-plus-semiseparable linear systems (Articolo in rivista) (literal)
Anno
  • 2004-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1016/j.cam.2003.09.040 (literal)
Alternative label
  • Ellen Van Camp; Nicola Mastronardi; Marc Van Barel (2004)
    Two fast algorithms for solving diagonal-plus-semiseparable linear systems
    in Journal of computational and applied mathematics
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Ellen Van Camp; Nicola Mastronardi; Marc Van Barel (literal)
Pagina inizio
  • 731 (literal)
Pagina fine
  • 747 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 164 (literal)
Rivista
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, Leuven-Heverlee 3001, Belgio; Istituto per le Applicazioni del Calcolo \"M. Picone\", sede di Bari, Consiglio Nazionale delle Ricerche, via G. Amendola, Bari 122/D, 70126, Italia; Department of Computer Science, Katholieke Universiteit Leuven, Celestijnenlaan 200A, Leuven-Heverlee 3001, Belgio (literal)
Titolo
  • Two fast algorithms for solving diagonal-plus-semiseparable linear systems (literal)
Abstract
  • In this paper we discuss the structure of the factors of a QR- and a URV-factorization of a diagonal-plus -semiseparable matrix. The Q-factor of a QR-factorization has the diagonal-plus-semiseparable structure. The U- and V-factor of a URV-factorization are semiseparable lower Hessenberg orthogonal matrices. The strictly upper triangular part of the R-factor of a QR- and of a URV-factorization is the strictly upper triangular part of a rank-2 matrix. This latter fact provides a tool to construct a fast QR-solver and a fast URV-solver for linear systems of the form (D + S)x = b. ?c 2003 Elsevier B.V. All rights reserved. (literal)
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